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Finding the Third Proportional to 158,923.50 and 240,005.25

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Solution

The third proportional to 158,923.50 and 240,005.25 is: 362,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,923.50 : 240,005.25 = 240,005.25 : x
  2. Step 2: Convert to fraction form
    158,923.50/240,005.25 = 240,005.25/x
  3. Step 3: Cross multiply
    158,923.50x = 240,005.25 × 240,005.25
  4. Step 4: Simplify right side
    158,923.50x = 57,602,520,027.56
  5. Step 5: Solve for x
    x = 57,602,520,027.56/158,923.50
  6. Step 6: Final answer
    x = 362,454.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.